Abstract

The theory for two-wave mixing in a photorefractive material with an external electric field and a moving grating is developed. Large gain enhancements are predicted for grating periods of 10–100 μm and compared with recent observations in Bi12SiO20. Predictions are made for enhancements in GaAs, which has recently been found to be photorefractive in the near infrared.

© 1984 Optical Society of America

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  1. D. L. Staebler and J. J. Amodei, J. Appl. Phys. 43, 1042 (1972).
    [Crossref]
  2. L. Young, W. K. Y. Wong, M. L. W. Thewalt, and W. D. Cornish, Appl. Phys. Lett. 24, 264 (1974).
    [Crossref]
  3. D. W. Vahey, J. Appl. Phys. 46, 3510 (1975).
    [Crossref]
  4. N. V. Kukhtarev, Sov. Tech. Phys. Lett. 2, 438 (1976).
  5. N. Kukhtarev, V. Markov, and S. Odulov, Opt. Commun. 23, 338 (1977).
    [Crossref]
  6. N. V. Kukhtarev, V. B. Markov, S. G. Odulov, M. S. Soskin, and V. L. Vinetski, Ferroelectrics 22, 949, 961 (1979).
    [Crossref]
  7. A. Krumins and P. Gunter, Appl. Phys. 19, 153 (1979).
    [Crossref]
  8. J. Feinberg, D. Heiman, A. R. Tanguay, and R. W. Hellwarth, J. Appl. Phys. 51, 1297 (1980).
    [Crossref]
  9. A. Marrakchi, J. P. Huignard, and P. Gunter, Appl. Phys. 24, 131 (1981).
    [Crossref]
  10. P. Gunter, Ferroelectrics 40, 43 (1982).
    [Crossref]
  11. P. Gunter, Opt. Commun. 41, 83 (1982).
    [Crossref]
  12. J. P. Huignard and A. Marrakchi, Opt. Commun. 38, 249 (1981).
    [Crossref]
  13. N. V. Kukhtarev, V. B. Markov, and S. G. Odulov, Sov. Phys. Tech. Phys. 25, 1109 (1980).
  14. V. L. Vinetskii and N. V. Kukhtarev, Sov. J. Quantum Electron. 8, 231 (1978).
    [Crossref]
  15. S. I. Stepanov, V. V. Kulikov, and M. P. Petrov, Opt. Commun. 44, 19 (1982).
    [Crossref]
  16. H. Rajbenbach, J. P. Huignard, and B. Loiseaux, Opt. Commun. 48, 247 (1983).
    [Crossref]
  17. J. White, M. Cronin-Golomb, B. Fischer, and A. Yariv, Appl. Phys. Lett. 40, 450 (1982).
    [Crossref]
  18. J. Feinberg, Opt. Lett. 7, 486 (1982).
    [Crossref] [PubMed]
  19. J. P. Huignard and J. P. Herriau, Appl. Opt. 17, 2671 (1978).
    [Crossref] [PubMed]
  20. G. C. Valley and M. B. Klein, Opt. Eng. 22, 704 (1983).
    [Crossref]
  21. M. B. Klein, Opt. Lett. 9, 350 (1984).
    [Crossref] [PubMed]
  22. A. M. Glass, A. M. Johnson, D. H. Olson, W. Simpson, and A. A. Ballman, Appl. Phys. Lett. 44, 948 (1984).
    [Crossref]
  23. J. P. Huignard, J. P. Herriau, G. Rivet, and P. Gunter, Opt. Lett. 5, 102 (1980).
    [Crossref]
  24. J. J. Amodei, RCA Rev. 32, 185 (1971).
  25. D. M. Kim, R. R. Shah, T. A. Rabson, and F. K. Tittel, Appl. Phys. Lett. 28, 338 (1976).
    [Crossref]
  26. J. F. Lam, Appl. Phys. Lett. 42, 155 (1983).
    [Crossref]
  27. W. R. Cook, R. F. S. Hearmon, H. Jaffe, and D. F. Nelson, in Landolt–Bornstein, Numerical Data and Functional Relationships in Science and Technology, New Series, K. H. Hellwege, ed. (Springer-Verlag, Berlin, 1979), Vol. 11, Chap. 5, p. 495.
  28. W. R. Cook and H. Jaffe, in Landolt–Bornstein, Numerical Data and Functional Relationships in Science and Technology, New Series, K. H. Hellwege, ed. (Springer-Verlag, Berlin, 1979), Vol. 11, Chap. 3, p. 287.
  29. J. P. Huignard and F. Micheron, Appl. Phys. Lett. 29, 591 (1976).
    [Crossref]
  30. R. A. Mullen and R. W. Hellwarth (to be submitted to J. Appl. Phys.); R. A. Mullen, Ph.D. Dissertation (University of Southern California, Los Angeles, Calif., 1984).
  31. J. S. Blakemore, J. Appl. Phys. 53, R123 (1982).
    [Crossref]
  32. C. H. Henry and D. V. Lang, Phys. Rev. B 15, 989 (1977).
    [Crossref]
  33. A. Feldman, W. S. Brower, and D. Horowitz, Appl. Phys. Lett. 16, 201 (1970).
    [Crossref]
  34. M. Peltier and F. Micheron, J. Appl. Phys. 48, 3683 (1977).
    [Crossref]
  35. Ph. Refregier, L. Solymar, H. Rajbenbach, and J. P. Huignard, Electron. Lett. (to be published).
  36. G. C. Valley, Appl. Opt. 22, 3160 (1983); erratum 23, 1131 (1984).
    [Crossref]

1984 (2)

M. B. Klein, Opt. Lett. 9, 350 (1984).
[Crossref] [PubMed]

A. M. Glass, A. M. Johnson, D. H. Olson, W. Simpson, and A. A. Ballman, Appl. Phys. Lett. 44, 948 (1984).
[Crossref]

1983 (4)

G. C. Valley and M. B. Klein, Opt. Eng. 22, 704 (1983).
[Crossref]

J. F. Lam, Appl. Phys. Lett. 42, 155 (1983).
[Crossref]

G. C. Valley, Appl. Opt. 22, 3160 (1983); erratum 23, 1131 (1984).
[Crossref]

H. Rajbenbach, J. P. Huignard, and B. Loiseaux, Opt. Commun. 48, 247 (1983).
[Crossref]

1982 (6)

J. White, M. Cronin-Golomb, B. Fischer, and A. Yariv, Appl. Phys. Lett. 40, 450 (1982).
[Crossref]

J. Feinberg, Opt. Lett. 7, 486 (1982).
[Crossref] [PubMed]

P. Gunter, Ferroelectrics 40, 43 (1982).
[Crossref]

P. Gunter, Opt. Commun. 41, 83 (1982).
[Crossref]

J. S. Blakemore, J. Appl. Phys. 53, R123 (1982).
[Crossref]

S. I. Stepanov, V. V. Kulikov, and M. P. Petrov, Opt. Commun. 44, 19 (1982).
[Crossref]

1981 (2)

A. Marrakchi, J. P. Huignard, and P. Gunter, Appl. Phys. 24, 131 (1981).
[Crossref]

J. P. Huignard and A. Marrakchi, Opt. Commun. 38, 249 (1981).
[Crossref]

1980 (3)

N. V. Kukhtarev, V. B. Markov, and S. G. Odulov, Sov. Phys. Tech. Phys. 25, 1109 (1980).

J. Feinberg, D. Heiman, A. R. Tanguay, and R. W. Hellwarth, J. Appl. Phys. 51, 1297 (1980).
[Crossref]

J. P. Huignard, J. P. Herriau, G. Rivet, and P. Gunter, Opt. Lett. 5, 102 (1980).
[Crossref]

1979 (2)

N. V. Kukhtarev, V. B. Markov, S. G. Odulov, M. S. Soskin, and V. L. Vinetski, Ferroelectrics 22, 949, 961 (1979).
[Crossref]

A. Krumins and P. Gunter, Appl. Phys. 19, 153 (1979).
[Crossref]

1978 (2)

V. L. Vinetskii and N. V. Kukhtarev, Sov. J. Quantum Electron. 8, 231 (1978).
[Crossref]

J. P. Huignard and J. P. Herriau, Appl. Opt. 17, 2671 (1978).
[Crossref] [PubMed]

1977 (3)

N. Kukhtarev, V. Markov, and S. Odulov, Opt. Commun. 23, 338 (1977).
[Crossref]

C. H. Henry and D. V. Lang, Phys. Rev. B 15, 989 (1977).
[Crossref]

M. Peltier and F. Micheron, J. Appl. Phys. 48, 3683 (1977).
[Crossref]

1976 (3)

J. P. Huignard and F. Micheron, Appl. Phys. Lett. 29, 591 (1976).
[Crossref]

D. M. Kim, R. R. Shah, T. A. Rabson, and F. K. Tittel, Appl. Phys. Lett. 28, 338 (1976).
[Crossref]

N. V. Kukhtarev, Sov. Tech. Phys. Lett. 2, 438 (1976).

1975 (1)

D. W. Vahey, J. Appl. Phys. 46, 3510 (1975).
[Crossref]

1974 (1)

L. Young, W. K. Y. Wong, M. L. W. Thewalt, and W. D. Cornish, Appl. Phys. Lett. 24, 264 (1974).
[Crossref]

1972 (1)

D. L. Staebler and J. J. Amodei, J. Appl. Phys. 43, 1042 (1972).
[Crossref]

1971 (1)

J. J. Amodei, RCA Rev. 32, 185 (1971).

1970 (1)

A. Feldman, W. S. Brower, and D. Horowitz, Appl. Phys. Lett. 16, 201 (1970).
[Crossref]

Amodei, J. J.

D. L. Staebler and J. J. Amodei, J. Appl. Phys. 43, 1042 (1972).
[Crossref]

J. J. Amodei, RCA Rev. 32, 185 (1971).

Ballman, A. A.

A. M. Glass, A. M. Johnson, D. H. Olson, W. Simpson, and A. A. Ballman, Appl. Phys. Lett. 44, 948 (1984).
[Crossref]

Blakemore, J. S.

J. S. Blakemore, J. Appl. Phys. 53, R123 (1982).
[Crossref]

Brower, W. S.

A. Feldman, W. S. Brower, and D. Horowitz, Appl. Phys. Lett. 16, 201 (1970).
[Crossref]

Cook, W. R.

W. R. Cook, R. F. S. Hearmon, H. Jaffe, and D. F. Nelson, in Landolt–Bornstein, Numerical Data and Functional Relationships in Science and Technology, New Series, K. H. Hellwege, ed. (Springer-Verlag, Berlin, 1979), Vol. 11, Chap. 5, p. 495.

W. R. Cook and H. Jaffe, in Landolt–Bornstein, Numerical Data and Functional Relationships in Science and Technology, New Series, K. H. Hellwege, ed. (Springer-Verlag, Berlin, 1979), Vol. 11, Chap. 3, p. 287.

Cornish, W. D.

L. Young, W. K. Y. Wong, M. L. W. Thewalt, and W. D. Cornish, Appl. Phys. Lett. 24, 264 (1974).
[Crossref]

Cronin-Golomb, M.

J. White, M. Cronin-Golomb, B. Fischer, and A. Yariv, Appl. Phys. Lett. 40, 450 (1982).
[Crossref]

Feinberg, J.

J. Feinberg, Opt. Lett. 7, 486 (1982).
[Crossref] [PubMed]

J. Feinberg, D. Heiman, A. R. Tanguay, and R. W. Hellwarth, J. Appl. Phys. 51, 1297 (1980).
[Crossref]

Feldman, A.

A. Feldman, W. S. Brower, and D. Horowitz, Appl. Phys. Lett. 16, 201 (1970).
[Crossref]

Fischer, B.

J. White, M. Cronin-Golomb, B. Fischer, and A. Yariv, Appl. Phys. Lett. 40, 450 (1982).
[Crossref]

Glass, A. M.

A. M. Glass, A. M. Johnson, D. H. Olson, W. Simpson, and A. A. Ballman, Appl. Phys. Lett. 44, 948 (1984).
[Crossref]

Gunter, P.

P. Gunter, Ferroelectrics 40, 43 (1982).
[Crossref]

P. Gunter, Opt. Commun. 41, 83 (1982).
[Crossref]

A. Marrakchi, J. P. Huignard, and P. Gunter, Appl. Phys. 24, 131 (1981).
[Crossref]

J. P. Huignard, J. P. Herriau, G. Rivet, and P. Gunter, Opt. Lett. 5, 102 (1980).
[Crossref]

A. Krumins and P. Gunter, Appl. Phys. 19, 153 (1979).
[Crossref]

Hearmon, R. F. S.

W. R. Cook, R. F. S. Hearmon, H. Jaffe, and D. F. Nelson, in Landolt–Bornstein, Numerical Data and Functional Relationships in Science and Technology, New Series, K. H. Hellwege, ed. (Springer-Verlag, Berlin, 1979), Vol. 11, Chap. 5, p. 495.

Heiman, D.

J. Feinberg, D. Heiman, A. R. Tanguay, and R. W. Hellwarth, J. Appl. Phys. 51, 1297 (1980).
[Crossref]

Hellwarth, R. W.

J. Feinberg, D. Heiman, A. R. Tanguay, and R. W. Hellwarth, J. Appl. Phys. 51, 1297 (1980).
[Crossref]

R. A. Mullen and R. W. Hellwarth (to be submitted to J. Appl. Phys.); R. A. Mullen, Ph.D. Dissertation (University of Southern California, Los Angeles, Calif., 1984).

Henry, C. H.

C. H. Henry and D. V. Lang, Phys. Rev. B 15, 989 (1977).
[Crossref]

Herriau, J. P.

Horowitz, D.

A. Feldman, W. S. Brower, and D. Horowitz, Appl. Phys. Lett. 16, 201 (1970).
[Crossref]

Huignard, J. P.

H. Rajbenbach, J. P. Huignard, and B. Loiseaux, Opt. Commun. 48, 247 (1983).
[Crossref]

J. P. Huignard and A. Marrakchi, Opt. Commun. 38, 249 (1981).
[Crossref]

A. Marrakchi, J. P. Huignard, and P. Gunter, Appl. Phys. 24, 131 (1981).
[Crossref]

J. P. Huignard, J. P. Herriau, G. Rivet, and P. Gunter, Opt. Lett. 5, 102 (1980).
[Crossref]

J. P. Huignard and J. P. Herriau, Appl. Opt. 17, 2671 (1978).
[Crossref] [PubMed]

J. P. Huignard and F. Micheron, Appl. Phys. Lett. 29, 591 (1976).
[Crossref]

Ph. Refregier, L. Solymar, H. Rajbenbach, and J. P. Huignard, Electron. Lett. (to be published).

Jaffe, H.

W. R. Cook, R. F. S. Hearmon, H. Jaffe, and D. F. Nelson, in Landolt–Bornstein, Numerical Data and Functional Relationships in Science and Technology, New Series, K. H. Hellwege, ed. (Springer-Verlag, Berlin, 1979), Vol. 11, Chap. 5, p. 495.

W. R. Cook and H. Jaffe, in Landolt–Bornstein, Numerical Data and Functional Relationships in Science and Technology, New Series, K. H. Hellwege, ed. (Springer-Verlag, Berlin, 1979), Vol. 11, Chap. 3, p. 287.

Johnson, A. M.

A. M. Glass, A. M. Johnson, D. H. Olson, W. Simpson, and A. A. Ballman, Appl. Phys. Lett. 44, 948 (1984).
[Crossref]

Kim, D. M.

D. M. Kim, R. R. Shah, T. A. Rabson, and F. K. Tittel, Appl. Phys. Lett. 28, 338 (1976).
[Crossref]

Klein, M. B.

M. B. Klein, Opt. Lett. 9, 350 (1984).
[Crossref] [PubMed]

G. C. Valley and M. B. Klein, Opt. Eng. 22, 704 (1983).
[Crossref]

Krumins, A.

A. Krumins and P. Gunter, Appl. Phys. 19, 153 (1979).
[Crossref]

Kukhtarev, N.

N. Kukhtarev, V. Markov, and S. Odulov, Opt. Commun. 23, 338 (1977).
[Crossref]

Kukhtarev, N. V.

N. V. Kukhtarev, V. B. Markov, and S. G. Odulov, Sov. Phys. Tech. Phys. 25, 1109 (1980).

N. V. Kukhtarev, V. B. Markov, S. G. Odulov, M. S. Soskin, and V. L. Vinetski, Ferroelectrics 22, 949, 961 (1979).
[Crossref]

V. L. Vinetskii and N. V. Kukhtarev, Sov. J. Quantum Electron. 8, 231 (1978).
[Crossref]

N. V. Kukhtarev, Sov. Tech. Phys. Lett. 2, 438 (1976).

Kulikov, V. V.

S. I. Stepanov, V. V. Kulikov, and M. P. Petrov, Opt. Commun. 44, 19 (1982).
[Crossref]

Lam, J. F.

J. F. Lam, Appl. Phys. Lett. 42, 155 (1983).
[Crossref]

Lang, D. V.

C. H. Henry and D. V. Lang, Phys. Rev. B 15, 989 (1977).
[Crossref]

Loiseaux, B.

H. Rajbenbach, J. P. Huignard, and B. Loiseaux, Opt. Commun. 48, 247 (1983).
[Crossref]

Markov, V.

N. Kukhtarev, V. Markov, and S. Odulov, Opt. Commun. 23, 338 (1977).
[Crossref]

Markov, V. B.

N. V. Kukhtarev, V. B. Markov, and S. G. Odulov, Sov. Phys. Tech. Phys. 25, 1109 (1980).

N. V. Kukhtarev, V. B. Markov, S. G. Odulov, M. S. Soskin, and V. L. Vinetski, Ferroelectrics 22, 949, 961 (1979).
[Crossref]

Marrakchi, A.

J. P. Huignard and A. Marrakchi, Opt. Commun. 38, 249 (1981).
[Crossref]

A. Marrakchi, J. P. Huignard, and P. Gunter, Appl. Phys. 24, 131 (1981).
[Crossref]

Micheron, F.

M. Peltier and F. Micheron, J. Appl. Phys. 48, 3683 (1977).
[Crossref]

J. P. Huignard and F. Micheron, Appl. Phys. Lett. 29, 591 (1976).
[Crossref]

Mullen, R. A.

R. A. Mullen and R. W. Hellwarth (to be submitted to J. Appl. Phys.); R. A. Mullen, Ph.D. Dissertation (University of Southern California, Los Angeles, Calif., 1984).

Nelson, D. F.

W. R. Cook, R. F. S. Hearmon, H. Jaffe, and D. F. Nelson, in Landolt–Bornstein, Numerical Data and Functional Relationships in Science and Technology, New Series, K. H. Hellwege, ed. (Springer-Verlag, Berlin, 1979), Vol. 11, Chap. 5, p. 495.

Odulov, S.

N. Kukhtarev, V. Markov, and S. Odulov, Opt. Commun. 23, 338 (1977).
[Crossref]

Odulov, S. G.

N. V. Kukhtarev, V. B. Markov, and S. G. Odulov, Sov. Phys. Tech. Phys. 25, 1109 (1980).

N. V. Kukhtarev, V. B. Markov, S. G. Odulov, M. S. Soskin, and V. L. Vinetski, Ferroelectrics 22, 949, 961 (1979).
[Crossref]

Olson, D. H.

A. M. Glass, A. M. Johnson, D. H. Olson, W. Simpson, and A. A. Ballman, Appl. Phys. Lett. 44, 948 (1984).
[Crossref]

Peltier, M.

M. Peltier and F. Micheron, J. Appl. Phys. 48, 3683 (1977).
[Crossref]

Petrov, M. P.

S. I. Stepanov, V. V. Kulikov, and M. P. Petrov, Opt. Commun. 44, 19 (1982).
[Crossref]

Rabson, T. A.

D. M. Kim, R. R. Shah, T. A. Rabson, and F. K. Tittel, Appl. Phys. Lett. 28, 338 (1976).
[Crossref]

Rajbenbach, H.

H. Rajbenbach, J. P. Huignard, and B. Loiseaux, Opt. Commun. 48, 247 (1983).
[Crossref]

Ph. Refregier, L. Solymar, H. Rajbenbach, and J. P. Huignard, Electron. Lett. (to be published).

Refregier, Ph.

Ph. Refregier, L. Solymar, H. Rajbenbach, and J. P. Huignard, Electron. Lett. (to be published).

Rivet, G.

Shah, R. R.

D. M. Kim, R. R. Shah, T. A. Rabson, and F. K. Tittel, Appl. Phys. Lett. 28, 338 (1976).
[Crossref]

Simpson, W.

A. M. Glass, A. M. Johnson, D. H. Olson, W. Simpson, and A. A. Ballman, Appl. Phys. Lett. 44, 948 (1984).
[Crossref]

Solymar, L.

Ph. Refregier, L. Solymar, H. Rajbenbach, and J. P. Huignard, Electron. Lett. (to be published).

Soskin, M. S.

N. V. Kukhtarev, V. B. Markov, S. G. Odulov, M. S. Soskin, and V. L. Vinetski, Ferroelectrics 22, 949, 961 (1979).
[Crossref]

Staebler, D. L.

D. L. Staebler and J. J. Amodei, J. Appl. Phys. 43, 1042 (1972).
[Crossref]

Stepanov, S. I.

S. I. Stepanov, V. V. Kulikov, and M. P. Petrov, Opt. Commun. 44, 19 (1982).
[Crossref]

Tanguay, A. R.

J. Feinberg, D. Heiman, A. R. Tanguay, and R. W. Hellwarth, J. Appl. Phys. 51, 1297 (1980).
[Crossref]

Thewalt, M. L. W.

L. Young, W. K. Y. Wong, M. L. W. Thewalt, and W. D. Cornish, Appl. Phys. Lett. 24, 264 (1974).
[Crossref]

Tittel, F. K.

D. M. Kim, R. R. Shah, T. A. Rabson, and F. K. Tittel, Appl. Phys. Lett. 28, 338 (1976).
[Crossref]

Vahey, D. W.

D. W. Vahey, J. Appl. Phys. 46, 3510 (1975).
[Crossref]

Valley, G. C.

Vinetski, V. L.

N. V. Kukhtarev, V. B. Markov, S. G. Odulov, M. S. Soskin, and V. L. Vinetski, Ferroelectrics 22, 949, 961 (1979).
[Crossref]

Vinetskii, V. L.

V. L. Vinetskii and N. V. Kukhtarev, Sov. J. Quantum Electron. 8, 231 (1978).
[Crossref]

White, J.

J. White, M. Cronin-Golomb, B. Fischer, and A. Yariv, Appl. Phys. Lett. 40, 450 (1982).
[Crossref]

Wong, W. K. Y.

L. Young, W. K. Y. Wong, M. L. W. Thewalt, and W. D. Cornish, Appl. Phys. Lett. 24, 264 (1974).
[Crossref]

Yariv, A.

J. White, M. Cronin-Golomb, B. Fischer, and A. Yariv, Appl. Phys. Lett. 40, 450 (1982).
[Crossref]

Young, L.

L. Young, W. K. Y. Wong, M. L. W. Thewalt, and W. D. Cornish, Appl. Phys. Lett. 24, 264 (1974).
[Crossref]

Appl. Opt. (2)

Appl. Phys. (2)

A. Marrakchi, J. P. Huignard, and P. Gunter, Appl. Phys. 24, 131 (1981).
[Crossref]

A. Krumins and P. Gunter, Appl. Phys. 19, 153 (1979).
[Crossref]

Appl. Phys. Lett. (7)

J. White, M. Cronin-Golomb, B. Fischer, and A. Yariv, Appl. Phys. Lett. 40, 450 (1982).
[Crossref]

L. Young, W. K. Y. Wong, M. L. W. Thewalt, and W. D. Cornish, Appl. Phys. Lett. 24, 264 (1974).
[Crossref]

A. Feldman, W. S. Brower, and D. Horowitz, Appl. Phys. Lett. 16, 201 (1970).
[Crossref]

J. P. Huignard and F. Micheron, Appl. Phys. Lett. 29, 591 (1976).
[Crossref]

A. M. Glass, A. M. Johnson, D. H. Olson, W. Simpson, and A. A. Ballman, Appl. Phys. Lett. 44, 948 (1984).
[Crossref]

D. M. Kim, R. R. Shah, T. A. Rabson, and F. K. Tittel, Appl. Phys. Lett. 28, 338 (1976).
[Crossref]

J. F. Lam, Appl. Phys. Lett. 42, 155 (1983).
[Crossref]

Ferroelectrics (2)

P. Gunter, Ferroelectrics 40, 43 (1982).
[Crossref]

N. V. Kukhtarev, V. B. Markov, S. G. Odulov, M. S. Soskin, and V. L. Vinetski, Ferroelectrics 22, 949, 961 (1979).
[Crossref]

J. Appl. Phys. (5)

J. Feinberg, D. Heiman, A. R. Tanguay, and R. W. Hellwarth, J. Appl. Phys. 51, 1297 (1980).
[Crossref]

D. W. Vahey, J. Appl. Phys. 46, 3510 (1975).
[Crossref]

D. L. Staebler and J. J. Amodei, J. Appl. Phys. 43, 1042 (1972).
[Crossref]

J. S. Blakemore, J. Appl. Phys. 53, R123 (1982).
[Crossref]

M. Peltier and F. Micheron, J. Appl. Phys. 48, 3683 (1977).
[Crossref]

Opt. Commun. (5)

N. Kukhtarev, V. Markov, and S. Odulov, Opt. Commun. 23, 338 (1977).
[Crossref]

P. Gunter, Opt. Commun. 41, 83 (1982).
[Crossref]

J. P. Huignard and A. Marrakchi, Opt. Commun. 38, 249 (1981).
[Crossref]

S. I. Stepanov, V. V. Kulikov, and M. P. Petrov, Opt. Commun. 44, 19 (1982).
[Crossref]

H. Rajbenbach, J. P. Huignard, and B. Loiseaux, Opt. Commun. 48, 247 (1983).
[Crossref]

Opt. Eng. (1)

G. C. Valley and M. B. Klein, Opt. Eng. 22, 704 (1983).
[Crossref]

Opt. Lett. (3)

Phys. Rev. B (1)

C. H. Henry and D. V. Lang, Phys. Rev. B 15, 989 (1977).
[Crossref]

RCA Rev. (1)

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[Crossref]

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Other (4)

W. R. Cook, R. F. S. Hearmon, H. Jaffe, and D. F. Nelson, in Landolt–Bornstein, Numerical Data and Functional Relationships in Science and Technology, New Series, K. H. Hellwege, ed. (Springer-Verlag, Berlin, 1979), Vol. 11, Chap. 5, p. 495.

W. R. Cook and H. Jaffe, in Landolt–Bornstein, Numerical Data and Functional Relationships in Science and Technology, New Series, K. H. Hellwege, ed. (Springer-Verlag, Berlin, 1979), Vol. 11, Chap. 3, p. 287.

R. A. Mullen and R. W. Hellwarth (to be submitted to J. Appl. Phys.); R. A. Mullen, Ph.D. Dissertation (University of Southern California, Los Angeles, Calif., 1984).

Ph. Refregier, L. Solymar, H. Rajbenbach, and J. P. Huignard, Electron. Lett. (to be published).

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Figures (8)

Fig. 1
Fig. 1

Imaginary part of the space-charge field in BSO as a function of grating period Λg with applied field E0 and trap density NA.

Fig. 2
Fig. 2

Imaginary part of the space-charge field in BSO as a function of grating period Λg with optimal velocity moving grating, τdi/τ2 = 0.01, applied field E0, and trap density NA.

Fig. 3
Fig. 3

Imaginary part of the space-charge field in BSO as a function of grating period Λg with optimal velocity moving grating, τdi/τ2 = 6 × 10−4, applied field E0, and trap density NA.

Fig. 4
Fig. 4

Gain coefficient as a function of grating period for parameters shown for comparison with the data of Rajbenbach et al.16

Fig. 5
Fig. 5

Gain coefficient as a function of grating period based on theory given here (lines) for comparison with values measured by Rajbenbach et al.16 (data points).

Fig. 6
Fig. 6

Imaginary part of the space-charge field in GaAs as a function of grating period with applied field E0 and no moving grating.

Fig. 7
Fig. 7

Imaginary part of the space-charge field in GaAs as a function of grating period with applied field.

Fig. 8
Fig. 8

Two-wave-mixing geometry.

Tables (1)

Tables Icon

Table 1 Materials Parameters for BSO and GaAs

Equations (36)

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Γ = 2 δ E D 1 + E D / E q ,
δ = π n b 3 r eff / ( λ 0 cos θ ) , E D = 2 π k B T / Λ g e ,
E q = 2 e N A Λ g / ,
( A + B u ) E 2 = - ( E 0 - i E D ) A 1 A - 1 * / ( A 1 2 + A 2 2 ) ( E - 2 = E 2 * ) ,
A ± 1 z = - i δ E ± 2 A 1 ,
Γ = 2 δ E D 1 + E D / E q + E 0 2 / ( E D E q ) [ 1 + ( E D / E q ) ] 2 + ( E 0 / E q ) 2 .
Γ = 2 δ Im [ - ( E 0 - i E D ) A + B u ] ,
τ di τ 2 = ( β + s I 0 + γ R n 0 ) 4 π e μ n 0 .
τ di τ 2 = γ R 4 π e μ .
n t - N D + t = - · j e             ( continuity ) ,
N D + t = ( β + s I ) ( N D - N D + ) - γ R n N D +             ( ion rate equation ) ,
j = e μ n E - k B T μ n + p I             ( current equation ) ,
· ( E ) = 4 π e ( n + N A - N D + )             ( Poisson ' s equation ) ,
2 E opt = - 1 c 2 2 t 2 n opt 2 E opt             ( wave equation ) ,
n opt 2 = n b 2 ( 1 + r eff n b 2 E sc ) ,
· t ( E ) = - 4 π · j .
E t = - 4 π j + 4 π J ,
E t = - 4 π ( e μ n E - k B T μ n + p I ) + 4 π J ,
n t = ( β + s I ) N D + ( β + s I + γ R n ) ( 4 π e · E - n - N A ) - 1 e · ( e μ n E - k B T μ n + p I ) .
n = n 0 + n 2 ( z ) exp ( 2 i k x x - i k v t ) + n - 2 ( z ) exp ( - 2 i k x x + i k v t ) ,
E = [ E 0 + E 2 ( z ) exp ( 2 i k x x - i k v t ) + E - 2 ( z ) exp ( - 2 i k x x + k v t ) ] x ^ ,
E opt = { A 1 ( z ) exp [ i ( k x x - k z z + ω t ) ( 1 - 1 2 n c ) ] + A - 1 ( z ) exp [ i ( - k x x - k z z + ω t ) ( 1 + 1 2 v c ) ] } y ^ ,
- i k v E 2 = - 4 π ( e μ n 0 E 2 + e μ n 2 E 0 - 2 i k x k B T μ n 2 + p x a A 1 A - 1 * ) ,
- i k v n 2 = s N D a A 1 A - 1 * + ( β + s I 0 + γ R n 0 ) × ( 4 π e 2 i k x E 2 - n 2 ) + ( s a A 1 A - 1 * + γ R n 2 ) ( - n 0 - N A ) - 2 i k x e ( e μ n 0 E 2 + e μ n 2 E 0 - k B T μ 2 i k x n 2 + p x a A 1 A - 1 * ) ,
( β + s I 0 ) ( N D + N A - n 0 ) + γ R ( N A + n 0 ) n 0 = 0 ,
n 0 ( β + s I 0 ) ( N D - N A ) γ R N A .
a = c n b / 4 π , I 0 = a ( | A 1 2 + A - 1 2 ) .
{ [ - i k v + ( 1 / τ 1 ) + ( 1 / τ R ) + ( i / τ E ) + ( 1 / τ D ) ] × [ - i k v + ( 1 / τ di ) ] - [ ( i / τ 2 ) - ( i / τ di ) ] [ ( - 1 / τ E ) + ( i / τ D ) ] } E 2 = - ( E 0 - i E D ) 1 τ di τ R A 1 A - 1 * A 1 2 + A - 2 ,
( A + B u ) E 2 = - ( E 0 - i E D ) A 1 A - 1 * / ( A 1 2 + A - 1 2 ) , E - 2 = E 2 * ,
A ± 1 z = - i δ E ± 2 A 1 ,
Γ = 2 δ Im [ - ( E 0 - i E D ) ( A + B u ) ] .
d Γ d u | u max = 0.
u max = - 1 2 c ¯ [ b ¯ - ( b ¯ - 2 - 4 a c ¯ ) 1 / 2 ] ,
Γ ( u ) = 2 δ E q ( E 0 / E q ) 2 + ( E D + E q ) 2 + ( E D / E q ) - ( E 0 / E q ) ( τ di / τ 2 ) u [ 1 + ( E D / E q ) + ( E 0 / E q ) u ] 2 + [ ( E 0 / E q ) - ( τ di / τ 2 ) u - ( E D / E q ) u ] 2 .
u 1 = - 1 + ( E D / E q ) ( E 0 / E q ) .
u 2 = E 0 / E q ( τ di / τ 2 ) + ( E D / E q ) .

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